On Completions of Posets with Operators

被引：0

作者：

Zhang, Xia ^{[1
]}

Paseka, Jan ^{[2
]}

Ma, Wen ^{[1
]}

机构：

[1] South China Normal Univ, Sch Math Sci, Guangzhou 510631, Peoples R China

[2] Masaryk Univ, Fac Sci, Dept Math & Stat, Kotlarska 2, CZ-61137 Brno, Czech Republic

来源：

JOURNAL OF MULTIPLE-VALUED LOGIC AND SOFT COMPUTING | 2022年 / 38卷 / 1-2期

关键词：

poset with an operator; order-embedding; lax morphism; completion; sup-algebra; injective object; injective hull; INJECTIVE HULLS; ALGEBRAS;

D O I：

暂无

中图分类号：

TP18 [人工智能理论];

学科分类号：

081104 ; 0812 ; 0835 ; 1405 ;

摘要：

In this note, we study completions of posets with a closure operation. Firstly, we show that every such completion is injective in the category of posets with a closure operation with respect to a subclass of order embeddings. Moreover, we show how to construct injective hulls for arbitrary posets with a closure operation.

引用

页码：227 / 243

页数：17